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Finding the Fourth Proportional to 2,096.83, 3,145.79 and 797.59

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Solution

The fourth proportional to 2,096.83, 3,145.79 and 797.59 is: 1,196.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,096.83 : 3,145.79 = 797.59 : x
  2. Step 2: Convert to fraction form
    2,096.83/3,145.79 = 797.59/x
  3. Step 3: Cross multiply
    2,096.83x = 3,145.79 × 797.59
  4. Step 4: Simplify right side
    2,096.83x = 2,509,050.65
  5. Step 5: Solve for x
    x = 2,509,050.65/2,096.83
  6. Step 6: Final answer
    x = 1,196.59

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.